Exact black hole solutions with non-linear electrodynamic field

摘要: We construct exact black hole solutions to Einstein gravity with nonlinear electrodynamic field. In these solutions, there are in general four parameters. They physical mass, electric charge, cosmological constant and the coupling constant. Due presence of constant, differ significantly from Reissner-Nordstrom-de Sitter solution Einstein-Maxwell a first place, some them endowed topological defect on angle $\theta$. Secondly, for extreme charged holes, charge can be much larger or smaller than mass by varying Thirdly, very large radius event horizon holes approaches $2M$ regardless charge. Lastly, asymptotically neither flat nor de (or anti-de Sitter).